Conflict diamonds found in part of hospital (4)
I believe the answer is:
ward
'part of hospital' is the definition.
(hospitals have wards)
'conflict diamonds' is the wordplay.
'conflict' becomes 'war' (war is a kind of conflict).
'diamonds' becomes 'd' (abbreviation in card games).
'war'+'d'='WARD'
'found in' is the link.
(Other definitions for ward that I've seen before include "Separate room" , "Hospital room; part of borough" , "Hospital room with beds" , "One under the protection of another" , "zone for votes" .)